Stat 300 - Woodmansee Group Work 3.2 Name: Justice White For questions 1-2, the table shows the results of a survey in which 142 male and 145 female workers ages 25 to 64 were asked if they had at least one month's income set aside for emergencies. Male Female Total Less than one month's income 66 83 149 One month's income or more 76 62 138 Total 142 145 287 1. Find the probability that a randomly selected worker has one month's income or more set aside for emergencies, given that the worker is female. Show work. 2. Find the probability that a randomly selected worker is female, given that the worker has less than one month's income set aside for emergencies. Show work 3. Determine whether the events are independent or dependent. Explain your reasoning. A ball numbered from 1 through 52 is selected from a bin, replaced, and then a second numbered ball is selected from the bin. 4. In a survey, 210 adults were asked whether they drive a pickup truck and whether they drive a Ford. The results showed that three in ten adults surveyed drive a Ford. Of the adults that drive Fords, two in nine drive a pickup truck. Find the probability that a randomly selected adult drives a Ford and drives a pickup truck. Show work. Use the following information for questions 5-7. In a sample of 1000 U.S. adults, 150 said they are very confident in the nutritional information on restaurant menus. Four U.S. adults are selected at random without replacement. 5. Find the probability that all four adults are very confident in the nutritional information on restaurant menus. Show work 6. Find the probability that none of the four adults are very confident in the nutritional information on restaurant menus. Show work. 7. Find the probability that at least one of the four adults is very confident in the nutritional information on restaurant menus. Show work